OK, let's crack this. We're given 17 and our task is to multiply it by 34. Essentially, we'll be adding 17 to itself 34 times.
Step 1: 0 + 17 = 17
Step 2: 17 + 17 = 34
Step 3: 34 + 17 = 51
Step 4: 51 + 17 = 68
Step 5: 68 + 17 = 85
Step 6: 85 + 17 = 102
Step 7: 102 + 17 = 119
Step 8: 119 + 17 = 136
Step 9: 136 + 17 = 153
Step 10: 153 + 17 = 170
Step 11: 170 + 17 = 187
Step 12: 187 + 17 = 204
Step 13: 204 + 17 = 221
Step 14: 221 + 17 = 238
Step 15: 238 + 17 = 255
Step 16: 255 + 17 = 272
Step 17: 272 + 17 = 289
Step 18: 289 + 17 = 306
Step 19: 306 + 17 = 323
Step 20: 323 + 17 = 340
Step 21: 340 + 17 = 357
Step 22: 357 + 17 = 374
Step 23: 374 + 17 = 391
Step 24: 391 + 17 = 408
Step 25: 408 + 17 = 425
Step 26: 425 + 17 = 442
Step 27: 442 + 17 = 459
Step 28: 459 + 17 = 476
Step 29: 476 + 17 = 493
Step 30: 493 + 17 = 510
Step 31: 510 + 17 = 527
Step 32: 527 + 17 = 544
Step 33: 544 + 17 = 561
Step 34: 561 + 17 = 578

So, 17*34 = 578